Volume Calculator

Calculate the volume of various 3D geometric shapes and solids

Select a 3D Shape

🧊
Cube
V = s³
📦
Rectangular Prism
V = l × w × h
Sphere
V = (4/3)πr³
🥫
Cylinder
V = πr²h
🍦
Cone
V = (1/3)πr²h
🔺
Pyramid
V = (1/3) × base × h

Cube Volume Calculator

Volume = side³ = s × s × s
🧊

A cube has 6 equal square faces. All edges are the same length.

Side = s
All edges equal
6 square faces

Cube Examples

🎲 Dice

Side: 1.5 cm

Volume = 1.5³ = 3.375 cm³
📦 Storage Box

Side: 50 cm

Volume = 50³ = 125,000 cm³ = 125 L

Sphere Volume Calculator

Volume = (4/3) × π × radius³ ≈ 4.189 × r³

A sphere is a perfectly round 3D shape. Every point on the surface is equidistant from the center.

Radius = r
Diameter = 2r
Curved surface

Radius = Diameter ÷ 2

Sphere Examples

🏀 Basketball

Radius: 12 cm

Volume = (4/3)π × 12³ = 7,238 cm³
🌍 Earth (scaled)

Radius: 6.371 million km

Volume ≈ 1.083 × 10²¹ m³

Cylinder Volume Calculator

Volume = π × radius² × height ≈ 3.14159 × r² × h
🥫

A cylinder has two parallel circular bases connected by a curved surface.

Radius = r
Height = h
2 circular bases

Cylinder Examples

🥤 Soda Can

Radius: 3.3 cm, Height: 12 cm

Volume = π × 3.3² × 12 = 410 cm³
🛢️ Oil Drum

Radius: 30 cm, Height: 90 cm

Volume = π × 30² × 90 = 254,469 cm³ = 254 L

Volume Calculation Tips

📏 Unit Consistency

Always use the same units for all measurements. The result will be in cubic units (e.g., m³ for meters).

🔢 Pi Precision

For precise calculations involving π, use more decimal places (π ≈ 3.14159265359). Calculators typically use high precision.

📊 Real Applications

Volume calculations are useful for liquid capacity, material estimation, shipping, and storage planning.

🔄 Unit Conversions

Remember: 1 m³ = 1,000 L, 1 ft³ ≈ 28.3 L, 1 in³ ≈ 16.4 mL. Use conversion tables for accuracy.

🧮 Complex Shapes

For irregular shapes, break them into simpler forms or use water displacement method for physical objects.

⚖️ Density Relations

Volume × Density = Mass. Use this relationship to calculate weight when you know volume and material density.